Hahaha... minigame.
No, just... no. Really.
You could make other changes.
1. Give XP to lockpicking: This is silly. It sort of makes breaking things the wrong choice.
2. Destroy items for breaking things. This is pointless for doors, and makes it the incorrect option for chests.
Those aren't exactly bad things you can do, they just so happen to make lockpicking the
right choice. If the goal isn't to make lockpicking the right choice then it can't require point investment. Lockpicking will always be the wrong choice if it requires point investment and isn't better. So there's more options.
3. Remove the skill and make it always work. This is
boring.4. Remove the skill and make it have a chance to work. This is boring
and frustrating.
5. Give you a chance to succeed based on the skill level instead of "level too low." There's no reason to ever invest points into the skill like this so it's effectively the same as solution 4.
So to summarize, those options boil down to: Making lockpicking the correct choice or making lockpicking boring
and possibly frustrating.